A family of antipodal distance-regular graphs related to the classical Preparata codes
type: Item
instance of: scholarly article
title: A family of antipodal distance-regular graphs related to the classical Preparata codes
zbMATH Open document ID: 0832.05100
DOI: 10.1023/A:1022429800058
author: Yanyan Li
published in: Journal of Algebraic Combinatorics
publication date: 1996-02-11T00:00:00Z
review text: The authors construct a new family of distance-regular graphs which are related to the classical Preparata codes and determine their automorphism groups. The new DRGs are antipodal \(2^{2t- 1}\)-fold covers of the complete graph on \(2^{2t}\) vertices; see \textit{A. E. Brouwer}, \textit{A. M. Cohen} and \textit{A. Neumaier} [Distance-regular graphs (1989; Zbl 0747.05073)] for background.
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 94B25
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 799588
zbMATH Keywords: distance-regular graphs
zbMATH Keywords: Preparata codes
zbMATH Keywords: automorphism groups
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
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cites work: Antipodal graphs of diameter three
cites work: Distance regular covers of the complete graph
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cites work: On difference matrices, resolvable transversal designs and generalized Hadamard matrices
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cites work: Q3921240
full work available at URL: a:1022429800058
OpenAlex ID: W1516018937
Wikidata QID: Q56850767
description: scientific article; zbMATH DE number 799588